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Probability
Definitions
Combinations and permutations
Making and analyzing decisions
100
Luciano tosses a coin 3 times. what is the probability that he gets exactly 2 heads? write as fraction
3/8
100
What does this mean aUb?
It is Union meaning that to find the answer you dump them all together and see what you get.
100
Keenan is taking a multiple choice quiz. each question has 4 possible answers: a,b,c,or d. There is 6 questions. how many different ways can Keenan answer the quiz?
1-4 2-4 3-4 5-4 6-4 4^6 answer is 4096 order does not matter
100
Gwalopy and Laturno are playing a game with 2 dice. Each die has 6 side, numbered 1 through 6 Gwalopy earns a point if either of the dice is even, Laturno earns a point if both dice are odd. is the game fair?
O < o e E < o e oo oe eo ee Gwalopy 3/4 Laturno 1/4 Gwalopy has more of a chance then Laturno
200
Ernesto is in a basketball game. The game has just been tied. He is at the foul line, so he is awarded a free-throw. Now the other team got a technical for bad behavior, the coach assigns Luciano to shoot. Ernesto made 32 of 50 free throws, and Luciano 42 of 48. what is the probability Ernesto & Luciano will make the free throw to win the game?
32/50 * 42/48 + 1344/2400 32/50+42/48 - 14/25 64%+ 88%+ -56% 96%
200
what does this mean a U b but the u upside down?.
that means it is intersection which it means when it is in both.
200
what is the definition of combinations ?
the order of the objects does not matter.
200
Baker makes a spinner with 10 equally sized spaces. she numbers each space 1 through 10. she creates a list of 5 numbers selected using the spinner. is this random or not?
this is random everything is equally likely
300
Karen surveys all the students in her class. she finds that 72% have at least one sibling, and 27% have at least one sibling with at least one pet. assume having a sibling and having a pet are independent events. what is the probability that a randomly chosen student at Karen's has at least one pet at home?
(.72) (x) = (.27) dived by a .72 and x equals 37.5%
300
What is the formula if a problem is independent?
p( a and b)= p(a)= p(b)
300
Mrs Bushman is picking 4 students to organize a class field trip. there are 25 students in her class. how many different ways can she pick the 4 students?
25^C 4 which equals 12650 order does not matter
300
a car dealership is having a contest . the first 10 customers to enter the contests are given 2 raffle tickets, the remaining 20 customers are each given 1 raffle ticket. there is 1 contest winner, selected by randomly choosing one of the raffle tickets. Spencer is one of the first 10 customers to enter the contest. what is the probability that he will win the raffle ?
2/40 of Spencer winning
400
Marlenne tosses a coin 3 times. what is the probability she gets 2 tails? write as decimal?
37.5 %
400
What is the definition of independent events?
independent events are when the outcome does not affect the probability of the outcome of another event
400
Gwalopy is answering a fill in blank question on an exam. there are 6 answer choices: a,b,c,d,e and f. And 5 blanks to fill in. each answer choice can only be used once, and one answer will not be chosen. how many different ways can Gwalopy fill in the 5 blanks ?
6 5 4 3 2 6 ^P^ 5 720 order does matter
400
a car dealership is having a contest . the first 10 customers to enter the contests are given 2 raffle tickets, the remaining 20 customers are each given 1 raffle ticket. there is 1 contest winner, selected by randomly choosing one of the raffle tickets. hope is one of the remaining 20 customers to enter the contest. what is the probability that she will win the raffle?
1/40 hope winning raffle
500
Liz is playing a card game with a standard 52 card deck. hes hoping for a club or face card on his first draw. what is the probability that he draws a club or a face card on his first draw?
52/4 13 clubs + 12 face cards -3 22/52 11/26
500
What is the definition of dependent events
dependent events are that are not independent, the outcome of one event affects the probability of the outcome of another event.
500
What is the definition of permutation?
permutation is when the order matters and is found in either using n, if repetitions are allowed.
500
a car dealership is having a contest . the first 10 customers to enter the contests are given 2 raffle tickets, the remaining 20 customers are each given 1 raffle ticket. there is 1 contest winner, selected by randomly choosing one of the raffle tickets. is the game fair?
noo it is not fair because only the first 10 get 2 tickets